Low Temperature Physics: 47, 119 (2021); https://doi.org/10.1063/10.0003172
Fizika Nizkikh Temperatur: Volume 47, Number 2 (February 2021), p. 136-139 ( to contents , go back )
Calculation of relative dispersions of magnetization, susceptibility, and heat capacity in a two-dimensional weakly diluted Potts model based on computer simulation methods
A. K. Murtazaev1,2, A. B. Babaev1,3, G. Ya. Ataeva1, and A. A. Murtazaeva1,2
1H. Amirkhanov Institute of Physics of the Daghestan Federal Research Center of the Russian Academy of SciencesMakhachkala 367010, Russia
2Dagestan State University, Makhachkala 367025, Russia
3Department of Mathematics and Informatics, Dagestan Federal Scientific CenterRussian Academy of Sciences, Makhachkala, Russia
Received March 26, 2020, revised September 21, 2020, published online December 25, 2020
The Monte Carlo method was used to calculate the relative dispersions of the magnetization Rm, susceptibility Rχ, and heat capacity RС for a weakly diluted impurity Potts model with the number of spin states q = 4. It is shown that the introduction of disorder in the form of nonmagnetic impurities into the two-dimensional Potts model with q = 4 on square lattice leads to nonzero values for Rm, Rχ, and RС at the critical point.
Key words: Monte Carlo method, Potts model, dispersion of the magnetization, susceptibility and heat capacity.